Can I read A Nilpotent Group Without Local Functional Equations for Pro-isomorphic Subgroups on EtoBox?

A Nilpotent Group Without Local Functional Equations for Pro-isomorphic Subgroups by Berman, Mark N.; Klopsch, Benjamin is a scholarly article available to read on EtoBox.

What is A Nilpotent Group Without Local Functional Equations for Pro-isomorphic Subgroups about?

The pro-isomorphic zeta function of a torsion-free finitely generated nilpotent group G enumerates finite index subgroups H such that H and G have isomorphic profinite completions. It admits an Euler product decomposition, indexed by the rational primes. We manufacture the first example of a torsion-free finitely generated nilpotent group G such that the local Euler factors of its pro-isomorphic zeta function do not satisfy functional equations. The group G has nilpotency class 4 and Hirsch length 25. It is obtained, via the Malcev correspondence, from a Z-Lie lattice L with a suitable algebraic automorphism group Aut(L).

Author

Berman, Mark N.; Klopsch, Benjamin

Published

2014

Language

EN